Prestressing in finite deformation abdominal aortic aneurysm simulation |
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| Authors: | M.W. Gee C. Reeps H.H. Eckstein W.A. Wall |
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| Affiliation: | 1. Institute for Computational Mechanics, Technische Universität München, Boltzmannstrasse 15, D-85747 Garching b. München, Germany;2. Chirurgische Klinik, Gefässchirurgie, Klinikum rechts der Isar, Technische Universität München, Ismaningerstr. 22, D-81675 München, Germany;1. Department of Mechanical Engineering, Biomechanics Section, KU Leuven, Leuven, Belgium;2. Departments of Mechanical Engineering, Biomedical Engineering and Mathematics, University of Connecticut, Storrs, USA;3. Bioengineering and Telemedicine Center, Networking Research on Bioengineering, Biomaterials and Nanomedicine, Polytechnic University of Madrid, Madrid, Spain;1. Department of Neurosurgery, Jichi Medical University, Tochigi, Japan;2. Medical Simulation Center, Jichi Medical University, Tochigi, Japan;1. Departments of Mechanical Engineering, Biomedical Engineering and Mathematics, University of Connecticut, CT, USA;2. Institute of Biomechanics, Graz University of Technology, Graz, Austria;3. Institute of Pathology, Medical University Graz, Graz, Austria;4. Experimental Cardiac Surgery, Faculty of Medicine, UZ Leuven, Leuven, Belgium;5. Department of Mechanical Engineering, KU Leuven, Leuven, Belgium;6. Vascular Surgery, Faculty of Medicine, UZ Leuven, Leuven, Belgium;1. Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242-1527, USA;2. Suzhou Industrial Park Institute of Vocational Technology, Suzhou, Jiangsu, China;1. Department of Mechanical Engineering, Stanford, CA, USA;2. Department of Bioengineering, Stanford, CA, USA;3. Department of Cardiothoracic Surgery, Stanford, CA, USA |
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| Abstract: | In abdominal aortic aneurysm (AAA) simulation the patient-specific geometry of the object of interest is very often reconstructed from in vivo medical imaging such as CT scans. Such geometries represent a deformed configuration stressed by typical in vivo conditions. However, commonly, such structures are considered stress-free in simulation. In this contribution we sketch and compare two methods to introduce a physically meaningful stress/strain state to the obtained geometry for simulations in the finite strain regime and demonstrate the necessity of such prestressing techniques. One method is based on an inverse design analysis to calculate a stress-free reference configuration. The other method developed here is based on a modified updated Lagrangian formulation. Formulation of both methods is provided. Applicability and accurateness of both approaches are compared and evaluated utilizing fully three-dimensional patient-specific AAA structures in the finite strain regime. |
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